4558400071681 has 9 divisors (see below), whose sum is σ = 4623660912769. Its totient is φ = 4494047800900.

The previous prime is 4558400071661. The next prime is 4558400071697. The reversal of 4558400071681 is 1861700048554.

The square root of 4558400071681 is 2135041.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 4558400071681 - 2³¹ = 4556252588033 is a prime.

It is a super-2 number, since 2×4558400071681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4558400071661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151572876 + ... + 151602946.

Almost surely, 2^{4558400071681} is an apocalyptic number.

4558400071681 is the 2135041-st square number.

4558400071681 is the 1067521-st centered octagonal number.

It is an amenable number.

4558400071681 is a deficient number, since it is larger than the sum of its proper divisors (65260841088).

4558400071681 is an frugal number, since it uses more digits than its factorization.

4558400071681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60284 (or 30142 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

Multiplying 4558400071681 by its sum of digits (49), we get a square (223361603512369 = 14945287²).

The spelling of 4558400071681 in words is "four trillion, five hundred fifty-eight billion, four hundred million, seventy-one thousand, six hundred eighty-one".